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When am I ever going to use this? An investigation of the calculus content of core engineering courses

机译:我什么时候才能使用这个?核心工程课程微积分综述调查

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Abstract Background Many engineering students fail to proceed through required prerequisite mathematics courses. Since these courses strongly influence engineering student attrition, we should examine to what degree these courses truly serve as prerequisites for following engineering coursework. Purpose/Hypothesis We examined two research questions: Which concepts and skills learned in calculus are applied in engineering statics and circuits homework assignments? How are calculus skills applied in engineering statics and circuits homework assignments? Design/Method This study analyzes the homework problems of two engineering courses—statics and circuits for nonmajors—using the mathematics‐in‐use method. These courses were chosen since they often require calculus as a direct prerequisite and are taken by most engineering majors. The mathematical content of each homework problem is carefully analyzed, with attention to alternative solution paths that may not match the instructor solution. Results Only 8% of statics problems and 20% of circuits for nonmajors problems applied calculus. Furthermore, these problems applied only the simplest calculus skills (e.g., integration of polynomials). Conclusions Circuits and statics apply relatively little calculus; most problems consist primarily of algebra. We may be able to modify prerequisite structures to ease or speed student progress.
机译:摘要背景许多工程学生未能通过所需的先决条件数学课程进行。由于这些课程强烈影响了工程学生的消耗,因此我们应该审查这些课程的程度真正作为以下工程课程的先决条件。目的/假设我们审查了两项研究问题:在演奏中学到的哪些概念和技能适用于工程估计和电路家庭作业?如何在工程静态和电路家庭作业中应用微积分技能?设计/方法本研究分析了使用数学途径的两个工程课程和电路的作业问题 - 使用数学方法。选择这些课程,因为他们经常需要微积分作为直接先决条件,并且由大多数工程专业而被采取。仔细分析了每个作业问题的数学内容,注意到可能与教师解决方案不匹配的替代解决方案路径。结果仅有8%的静态问题和20%的浪费电路应用微积分。此外,这些问题仅应用了最简单的微积分技能(例如,多项式的整合)。结论电路和静态算法适用相对较少的微积分;大多数问题主要由代数组成。我们可能能够修改先决条件结构以简化或速度学生进度。

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